# Mathematics / Year 4 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

Elaborations
• using division by 10 to extend the place-value system
• using knowledge of fractions to establish equivalences between fractions and decimal notation
General capabilities
• Numeracy Numeracy
• Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Simple fractions,  Decimals

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Year level 3-4
Resource type
Learning area Mathematics

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### Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

### Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...

### Swamp survival: hundredths counting

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, counting by either tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a counting pattern. Put the decimals ...

### Swamp survival: hundredths challenge

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look carefully at whole numbers and the tenths or hundredths. Put the decimals in order ...

### Decimaster: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial, array and pie ...

### Decimaster collections: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame, ...

### Decimaster plus: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a number line and a common fraction. Match three decimals with each tool. This learning object is one in a series of nine objects.

### Decimaster plus: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame ...

### Decimaster: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame, dial, array ...

### Decimaster collections: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a collection (represented by fishbowls) and adjust a common fraction. Match three decimals with each tool. This learning object is one in a series of nine objects.

### Decimaster plus: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame and dial. ...

### Decimaster collections: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial and ...

### reSolve: Authentic Problems: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

### MoneySmart: How much love can fit into a shoebox?

This is a year 4 mathematics unit of work about preparing a 'shoebox of love', a gift-filled shoebox to be sent to a child in need. The unit is intended to take about 11 hours of teaching and learning time. It consists of an introduction, seven student activities and teacher notes on curriculum, pedagogy and assessment. ...

### Modelling numeracy lessons

A teacher works with other year 3 and 4 teachers in her school to design and implement explicit mathematical learning experiences for students.  Collaboratively, they select and use content and resources for numeracy lessons suited to the strengths and needs of individual students from diverse backgrounds. She understands ...

### Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

### Fraction fiddle: tool

Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. A handy tool for use on an interactive whiteboard.

### Dynamic fractions

Use a tool to explore how to express fractions and display them in different ways. Create a grid with a number of rectangles ranging from 1 to 100 (up to a 10x10 array). Select boxes within the grid and view or enter corresponding fractions and their equivalents. Interact with a dynamic number line to express fractions ...

### Wishball challenge: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

### Design a park

Help a town planner to design a site plan for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

### Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

### Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

### Wishball: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

### Park fractions

Help a town planner to design two site plans for a park. Assign regions on a grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter corresponding fractions and their equivalents. ...

### Shape fractions

Use this tool to explore how to express fractions and display them in different ways. Divide simple shapes into equal parts. Select regions, then express the area selected as a fraction (or equivalent). Manually select fractions or choose other options to set variables displayed.